Mikayla is a waitress who makes a guaranteed $\$ 50$ per day in addition to tips of $20 \%$ of all her weekly customer receipts, $t$ . She works $6$ days per week. Which of the following functions best represents the amount of money that Mikayla makes in one week? $\newline$ Choose $1$ answer: $\newline$ (A) $f(t)=50+20 t$ $\newline$ (B) $f(t)=300+20 t$ $\newline$ (C) $f(t)=50+0.2 t$ $\newline$ (D) $f(t)=300+0.2 t$

Full solution

Q. Mikayla is a waitress who makes a guaranteed

\$ 50

per day in addition to tips of

20 \%

of all her weekly customer receipts,

t

. She works

6

days per week. Which of the following functions best represents the amount of money that Mikayla makes in one week?

\newline

Choose

1

answer:

\newline

(A)

f(t)=50+20 t

\newline

(B)

f(t)=300+20 t

\newline

(C)

f(t)=50+0.2 t

\newline

(D)

f(t)=300+0.2 t

Calculate Guaranteed Earnings: Mikayla makes a guaranteed $\$50$ per day. Since she works $6$ days per week, we need to calculate her total guaranteed earnings for the week. $\newline$ Calculation: \$50\/\text{day} \times 6 \text{days}\/\text{week} = \$300\/\text{week}
Calculate Tips: Next, we need to calculate the tips Mikayla makes in a week. She makes tips at a rate of $20\%$ of her weekly customer receipts, $t$ . To represent this as a function, we need to convert the percentage to a decimal. $\newline$ Calculation: $20\% = \frac{20}{100} = 0.2$
Write the Total Earnings Function: Now we can write the function that represents Mikayla's total earnings for the week. This function will include her guaranteed earnings plus her tips, which is $0.2$ times her weekly customer receipts, $t$ . $\newline$ Calculation: $f(t) = \text{guaranteed earnings} + \text{tips}$ $\newline$ $f(t) = \$(300) + 0.2t$